The Summability of Eigenfunction Expansions Connected with Schrödinger Operator for the Functions from Nikolskii Classes, Hα2 (Ω¯) on Closed Domain.

The eigenfunction expansions of the Schrödinger operator on closed domain are considered. The necessary estimations for uniform convergent of the eigenfunction expansions of Schrödinger operator on closed domain are obtained. The sufficient conditions for summability of spectral expansions of continuous functions from Nikolskii classes, HHα2 (Ω¯) are formulated. [ABSTRACT FROM AUTHOR]